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A generalized $\nu=2/3$ state, which unifies the edge-state pictures of MacDonald and of Beenakker is presented and studied in detail. Using an exact relation between correlation functions of this state and those of the Laughlin $\nu=1/3$…

Condensed Matter · Physics 2009-10-22 Yigal Meir

We consider quantum Hall states at even-denominator filling fractions, especially $\nu=5/2$, in the limit of small Zeeman energy. Assuming that a paired quantum Hall state forms, we study spin ordering and its interplay with pairing. We…

Mesoscale and Nanoscale Physics · Physics 2010-09-16 Ivailo Dimov , Bertrand I. Halperin , Chetan Nayak

We develop the Density Matrix Renormalization Group (DMRG) technique for numerically studying incompressible fractional quantum Hall (FQH) states on the sphere. We calculate accurate estimates for ground state energies and excitationgaps at…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 A. E. Feiguin , E. Rezayi , C. Nayak , S. Das Sarma

The temperature dependence of electron spin polarization for a narrow quantum Hall system shows behavior analogous to that of a two-dimensional system at major filling factors. At the lowest half-filled quantum Hall state for which no…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Tapash Chakraborty , K. Niemelä , P. Pietiläinen

We investigated the effect of spin polarization on the structural properties and gradient of electric field (EFG) on Sn, In, and Cd impurity in RSn$_3$ (R=Sm, Eu, Gd) and RIn$_3$ (R=Tm, Yb, Lu) compounds. The calculations were performed…

Strongly Correlated Electrons · Physics 2009-11-13 S. Jalali Asadabadi , H. Akbarzadeh

Using density functional theory, we investigate fluctuations of the ground state energy of spin-polarized, disordered quantum dots in the metallic regime. To compare to experiment, we evaluate the distribution of addition energies and find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Hirose , F. Zhou , N. Wingreen

In this paper, the density-matrix renormalization group method is employed to investigate the fractional quantum Hall effect at filling fractions $\nu=1/3$ and 5/2. We first present benchmark results at both filling fractions for large…

Strongly Correlated Electrons · Physics 2012-01-13 Jize Zhao , D. N. Sheng , F. D. M. Haldane

We construct a set of exact ground states with a localized ferromagnetic domain wall and an extended spiral structure in a quasi-one-dimensional deformed flat-band Hubbard model. In the case of quarter filling, we show the uniqueness of the…

Mathematical Physics · Physics 2007-05-23 Makoto Homma , Chigak Itoi

When Landau levels (LLs) become degenerate near the Fermi energy in the quantum Hall regime, interaction effects can drastically modify the electronic ground state. We study the quantum Hall ferromagnet formed in a two-dimensional hole gas…

Strongly Correlated Electrons · Physics 2020-08-12 M. Lupatini , P. Knüppel , S. Faelt , R. Winkler , M. Shayegan , A. Imamoglu , W. Wegscheider

We investigate the charge and spin structures associated with arbitrary smooth polarization textures in Ising (integer) quantum Hall ferromagnets. We consider the case where the two polarizations (denoted "pseudospin" up and down)…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 Jeroen Danon , Ajit C. Balram , Samuel Sánchez , Mark S. Rudner

The total energy of a quasi-one-dimensional electron system is calculated using density functional theory. It is shown that spontaneous ferromagnetic state in quantum wire occurs at low one-dimensional electron density. The critical…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 A. A. Vasilchenko

The edge states in the fractional quantum Hall systems at filling factor $\nu=1/3$ are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge…

Strongly Correlated Electrons · Physics 2021-03-30 Takuya Ito , Naokazu Shibata

Fractional quantum Hall effect energy gaps have been measured in GaAs/GaAlAs heterojunctions as a function of Zeeman energy, which is varied by applying hydrostatic pressure up to 20 kbar. The gap at v=1/3 decreases with pressure until the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. R. Leadley , R. J. Nicholas , D. K. Maude , A. N. Utjuzh , J. C. Portal , J. J. Harris , C. T. Foxon

The ground-state wave function and the energy gap are calculated for various layer separations d and for up to 24 electrons by the density matrix renormalization group (DMRG) method. Two-particle distribution function and excitonic…

Strongly Correlated Electrons · Physics 2009-11-11 Naokazu Shibata , Daijiro Yoshioka

We present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The…

Quantum Gases · Physics 2023-12-06 Piotr H. Chankowski , Jacek Wojtkiewicz , Rashad Bakhshizada

Spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall liquid with odd fractions ($\nu=1/3,1/5$) numerically obtained by the exact diagonalization of finite systems is shown to be accurately described,…

Condensed Matter · Physics 2009-10-22 T. Nakajima , H. Aoki

We perform real-space imaging of propagating magnetic domains in the fractional quantum Hall system using spin-sensitive photoluminescence microscopy. The propagation is continuous and proceeds in the direction of the conventional current,…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 John N. Moore , Junichiro Hayakawa , Takaaki Mano , Takeshi Noda , Go Yusa

The ground-state energy, the addition energies and the optical absorption spectra are derived for interacting polarons in parabolic quantum dots in three and two dimensions. A path integral formalism for identical particles is used in order…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. N. Klimin , V. M. Fomin , F. Brosens , J. T. Devreese

We calculate the ground state energy of cold and dense spin polarized quark matter with corrections due to correlation energy $(E_{corr})$. Expressions for $E_{corr}$ both in the non-relativistic and ultra-relativistic regimes have been…

High Energy Physics - Phenomenology · Physics 2009-08-26 Kausik Pal , Subhrajyoti Biswas , Abhee K. Dutt-Mazumder

Semiclassical expansion of the Wigner function for spin-1/2 fermions having an effective spacetime-dependent mass is used to analyze spin-polarization effects. The existing framework is reformulated to obtain a differential equation…

High Energy Physics - Phenomenology · Physics 2024-01-24 Samapan Bhadury , Arpan Das , Wojciech Florkowski , Gowthama K. K. , Radoslaw Ryblewski